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Finding the Fourth Proportional to 712,704.69, 983,079.38 and 467,705.34

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Solution

The fourth proportional to 712,704.69, 983,079.38 and 467,705.34 is: 645,136.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,704.69 : 983,079.38 = 467,705.34 : x
  2. Step 2: Convert to fraction form
    712,704.69/983,079.38 = 467,705.34/x
  3. Step 3: Cross multiply
    712,704.69x = 983,079.38 × 467,705.34
  4. Step 4: Simplify right side
    712,704.69x = 459,791,476,839.15
  5. Step 5: Solve for x
    x = 459,791,476,839.15/712,704.69
  6. Step 6: Final answer
    x = 645,136.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.